# PerpendicularVector Command

##### Command Categories (All commands)

PerpendicularVector( <Line> )
Returns the perpendicular vector of the line.
Example:
Let `Line((1, 4), (5, -3))` be the line j. `PerpendicularVector(j)` yields the perpendicular vector u=(7, 4) of the line j.
Note: A line with equation ax + by = c has the perpendicular vector (a, b).
PerpendicularVector( <Segment> )
Returns the perpendicular vector of the segment with the same length.
Example:
Let `Segment((3, 2), (14, 5))` be the segment k. `PerpendicularVector(k)` yields the perpendicular vector u=(-3, 11) of the segment k.
PerpendicularVector( <Vector> )
Returns the perpendicular vector of the given vector.
Example:
Let `Vector((-12, 8))` be the vector u. `PerpendicularVector(u)` yields the perpendicular vector v=(-8, -12) of the vector u.
Note: In the CAS View undefined variables are allowed as well.
Example: `PerpendicularVector((a, b))` yields the vector {-b, a}.
PerpendicularVector( <Plane> )
Creates a vector orthogonal to the plane.
Example:
`PerpendicularVector(xOyPlane)` yields the perpendicular vector u=(0, 0, 1) of the xOy plane.

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